Trimodal Steady Water Waves

Summary, in English

We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves of finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave is, generically, a combination of three different Fourier modes, giving rise to a rich and complex variety of wave patterns. The bifurcation argument is based on a blow-up technique, taking advantage of three parameters associated with the vorticity distribution, the strength of the background stream, and the period of the wave.

• Författare: Mats Ehrnstrom; Erik Wahlén
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten); Partial differential equations
• Publiceringsår: 2015
• Språk: Engelska
• Sidor: 449-471
• Publikation/Tidskrift/Serie: Archive for Rational Mechanics and Analysis
• Volym: 216
• Issue: 2
• Fulltext: - 7 MB; Download statistics
• Länkar: http://arxiv.org/abs/1311.0036; http://dx.doi.org/10.1007/s00205-014-0812-3
• Dokumenttyp: Artikel i tidskrift
• Förlag: Springer
• Ämne: Mathematics
• Status: Published
• Projekt: Nonlinear Water Waves
• Forskningsgrupp: Matematik NF; Partial differential equations
• ISBN/ISSN/Övrigt: ISSN: 0003-9527